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Finding the Fourth Proportional to 676.56, 932.94 and 443.64

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Solution

The fourth proportional to 676.56, 932.94 and 443.64 is: 611.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.56 : 932.94 = 443.64 : x
  2. Step 2: Convert to fraction form
    676.56/932.94 = 443.64/x
  3. Step 3: Cross multiply
    676.56x = 932.94 × 443.64
  4. Step 4: Simplify right side
    676.56x = 413,889.50
  5. Step 5: Solve for x
    x = 413,889.50/676.56
  6. Step 6: Final answer
    x = 611.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.